Algebra Examples

$20 x - (2 x - (x + 2) - (6 - x^{2}) - (28 + x + x^{2}))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$20 x - (2 x - x - 1 \cdot 2 - (6 - x^{2}) - (28 + x + x^{2}))$

Step 1.2

Multiply $- 1$ by $2$ .

$20 x - (2 x - x - 2 - (6 - x^{2}) - (28 + x + x^{2}))$

Step 1.3

Apply the distributive property.

$20 x - (2 x - x - 2 - 1 \cdot 6 - - x^{2} - (28 + x + x^{2}))$

Step 1.4

Multiply $- 1$ by $6$ .

$20 x - (2 x - x - 2 - 6 - - x^{2} - (28 + x + x^{2}))$

Step 1.5

Multiply $- - x^{2}$ .

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Step 1.5.1

Multiply $- 1$ by $- 1$ .

$20 x - (2 x - x - 2 - 6 + 1 x^{2} - (28 + x + x^{2}))$

Step 1.5.2

Multiply $x^{2}$ by $1$ .

$20 x - (2 x - x - 2 - 6 + x^{2} - (28 + x + x^{2}))$

Step 1.6

Apply the distributive property.

$20 x - (2 x - x - 2 - 6 + x^{2} - 1 \cdot 28 - x - x^{2})$

Step 1.7

Multiply $- 1$ by $28$ .

$20 x - (2 x - x - 2 - 6 + x^{2} - 28 - x - x^{2})$

Step 2

Combine the opposite terms in $2 x - x - 2 - 6 + x^{2} - 28 - x - x^{2}$ .

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Step 2.1

Subtract $x^{2}$ from $x^{2}$ .

$20 x - (2 x - x - 2 - 6 - 28 - x + 0)$

Step 2.2

Add $2 x - x - 2 - 6 - 28 - x$ and $0$ .

$20 x - (2 x - x - 2 - 6 - 28 - x)$

Step 3

Subtract $x$ from $2 x$ .

$20 x - (x - 2 - 6 - 28 - x)$

Step 4

Combine the opposite terms in $x - 2 - 6 - 28 - x$ .

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Step 4.1

Subtract $x$ from $x$ .

$20 x - (0 - 2 - 6 - 28)$

Step 4.2

Subtract $2$ from $0$ .

$20 x - (- 2 - 6 - 28)$

Step 5

Subtract $6$ from $- 2$ .

$20 x - (- 8 - 28)$

Step 6

Subtract $28$ from $- 8$ .

$20 x - - 36$

Step 7

Multiply $- 1$ by $- 36$ .

$20 x + 36$